变形多孔介质流固耦合模型及数值模拟研究

STUDY ON SOLID-FLUID-COUPLED MODEL AND NUMERICAL SIMULATION FOR DEFORMATION POROUS MEDIA

  • 摘要: 假定骨架、固体颗粒和水均是可压缩的,在此基础上采用两相不混溶流体的理论推导了水的连续方程,通过引入气压恒定这一假定进一步简化为水的非饱和渗流连续方程。基于广义Biot理论给出了固体骨架积分形式的平衡方程,结合非饱和渗流连续方程采用加权残值法推导了流固耦合方程组的有限元列式。通过干燥介质吸水的数值模拟来考察非饱和流固耦合模型的预测能力,数值模拟的结果表明耦合模型可以准确地反映吸水过程的规律。将耦合模型应用于水下大断面隧洞开挖的瞬态分析,可以模拟出开挖引起的EDZ区域孔隙水压力急剧升高、有效应力减小、渗透系数动态变化以及排水对洞室稳定性的影响,计算的结果与国外大型原位实验的一般性观测结论相吻合。

     

    Abstract: With the assumption that skeleton, grain and water is compressible, a continuity equation of water is established, based on the theory of immiscible two-phase fluid flow in deformation porous media. The two-phase continuity is simplified by the assumption that the air pressure is constant in the domain. A weak formulation of skeleton equilibrium equation is obtained in terms of general Biot’s theory, and the FEM formulation for the coupled problem is derived though above equations. To verify the transient coupled hydromechanical (HM) model, a process of dry media absorbing water is implemented, the results of numerical research (NUR) show that the model can reflect the law of absorbing process. The model is also used to analyze tunnelling under water table, and the result can simulate a rapid local pressure increase, effective stress decrease, permeability and stability changes in the excavation disturbed zone (EDZ) during construction. Numerical results match some general in-situ experiment conclusion obtained by foreign counterpart.

     

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